The Gross--Llewellyn Smith Sum Rule in the Analytic Approach to Perturbative QCD
Abstract
We apply analytic perturbation theory to the Gross--Llewellyn Smith sum rule. We study the Q2 evolution and the renormalization scheme dependence of the analytic three-loop QCD correction to this sum rule, and demonstrate that the results are practically renormalization scheme independent and lead to rather different Q2 evolution than the standard perturbative correction possesses.
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